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Finding the Fourth Proportional to 11,817.10, 16,314.40 and 7,843.60

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Solution

The fourth proportional to 11,817.10, 16,314.40 and 7,843.60 is: 10,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.10 : 16,314.40 = 7,843.60 : x
  2. Step 2: Convert to fraction form
    11,817.10/16,314.40 = 7,843.60/x
  3. Step 3: Cross multiply
    11,817.10x = 16,314.40 × 7,843.60
  4. Step 4: Simplify right side
    11,817.10x = 127,963,627.84
  5. Step 5: Solve for x
    x = 127,963,627.84/11,817.10
  6. Step 6: Final answer
    x = 10,828.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.